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20104128 = 26321119167
BaseRepresentation
bin100110010110…
…0001111000000
31101211101200100
41030230033000
520121313003
61554522400
7332611422
oct114541700
941741610
1020104128
1110391590
126896400
13421b945
142954812
151b71ba3
hex132c3c0

20104128 has 168 divisors, whose sum is σ = 66568320. Its totient is φ = 5736960.

The previous prime is 20104067. The next prime is 20104129. The reversal of 20104128 is 82140102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20104128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20104129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120301 + ... + 120467.

It is an arithmetic number, because the mean of its divisors is an integer number (396240).

Almost surely, 220104128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33284160).

20104128 is an abundant number, since it is smaller than the sum of its proper divisors (46464192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20104128 is a wasteful number, since it uses less digits than its factorization.

20104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20104128 is about 4483.7627055856. The cubic root of 20104128 is about 271.9120246049.

The spelling of 20104128 in words is "twenty million, one hundred four thousand, one hundred twenty-eight".